Abstract
This chapter is devoted to the study of chaotic vibrations of closed cylindrical shells subject to a local transversal load and temperature field employing the first-order Kirchhoff–Love approximations.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Karmishin, A. V., Mechenkov, V. I., & Frolov, A. N. (1975). Statics and dynamics of thin walled shell structures. Moscow (in Russian): Mashinostroenie.
Andreev, L. V., Obodan, N. I., & Lebedev, A. G. (1988). Stability of shells under non-axisymmetric deformation. Moscow (in Russian): Nauka.
Krysko, A. V., Awrejcewicz, J., & Saveleva, N. E. (2008). Stability, bifurcation and chaos of closed flexible cylindrical shells. International Journal of Mechanical Sciences, 50(2), 247–274.
Awrejcewicz, J., Krysko, V. A., & Saveleva, N. E. (2007). Routes to chaos exhibited by closed flexible cylindrical shells. Journal of Computational and Nonlinear Dynamics, 2(1), 1–9.
Krysko, V. A., Awrejcewicz, J., Saveleva, N. E., & Krysko, A. V. (2006). Dynamics of flexible shells and Sharkovskiy’s periodicity. Differential Equations and Nonlinear Mechanics, 2006, 59709.
Landau, L.D. (1965). On the problem of turbulence. In: Collected Papers of L.D. Landau (pp. 387–391). New York: Elsevier.
Krysko, V. A. (1976). Nonlinear statics and dynamics of inhomogeneous membranes. Saratov: Publishing House Saratov University Press.
Krysko, A. V., Awrejcewicz, J., Kuznetsova, E. S., & Krysko, V. A. (2008). Chaotic vibrations of closed cylindrical shells in a temperature field. Shock and Vibration, 15(3–4), 335–343.
Awrejcewicz, J., Krysko, V. A., Kutepov, I. E., Zagniboroda, N. A., Dobriyan, V., Papkova, I. V., et al. (2015). Chaotic vibrations of flexible curvilinear beams in temperature and electric fields. International Journal of Non-Linear Mechanics, 76, 29–41.
Krysko, V. A., Awrejcewicz, J., Papkova, I. V., Kutepov, I. E., Zagniboroda, N. A., Serebryakov, A. V., et al. (2013). Chaotic dynamics of flexible beams with piezoelectric and temperature phenomena. Physics Letters A, 377, 2058–2061.
Krysko, V.A., Awrejcewicz, J., Papkova, I.V., Baiburin, V.B., & Yakovleva, T.V. (2014). Non-linear phenomena exhibited by flexible cylindrical and sector shells. In: J. Awrejcewicz (Ed.) Applied Non-Linear Dynamical Systems, pp. 23–35.
Awrejcewicz, J., Krysko, A.V., Krysko, V.A., Krylova, E.Y., Mitskievich, S.A., Papkova, I.V., et al. (2014). Turbulent phenomena in flexible plates and shells. In: J. Awrejcewicz (Ed.) Applied Non-Linear Dynamical Systems, pp. 49–76.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2019 Springer Nature Switzerland AG
About this chapter
Cite this chapter
Krysko, V.A., Awrejcewicz, J., Zhigalov, M.V., Kirichenko, V.F., Krysko, A.V. (2019). Chaotic Dynamics of Closed Cylindrical Shells Under Local Transversal Load and Temperature Field (First-Order Kirchhoff–Love Approximation Model). In: Mathematical Models of Higher Orders. Advances in Mechanics and Mathematics, vol 42. Springer, Cham. https://doi.org/10.1007/978-3-030-04714-6_7
Download citation
DOI: https://doi.org/10.1007/978-3-030-04714-6_7
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-04713-9
Online ISBN: 978-3-030-04714-6
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)